Question

The relative density of oxygen and carbon dioxide are 16, 12 respectively. If 25cm3 of carbon dioxide effuse out in 75 sec what volume of oxygen will effuse out in 96 sec under similar conditions?​

Answer 1

32 cm³

Step-by-step explanation:

The given gas data are;

The relative density of oxygen = 16

The relative density of carbon dioxide = 12

The time it takes 25 cm³ of carbon dioxide to effuse out = 75 seconds'

The duration of effusion of the oxygen = 96 seconds

The rate of effusion of carbon dioxide, R1 = 25 cm³/(75 sec) = (1/3) cm³/sec

According to Graham's law of diffusion and effusion of a gas, we have;

`(Rate \ of \ effudion \ of \ gas \ 1)/(Rate \ of \ effudion \ of \ gas \ 2) =(The \ relative \ density \ of \ gas \ 2)/(The \ relative \ density \ of \ gas \ 1)`

Therefore, we have;

`(Rate \ of \ effudion \ of \ oxygen)/((1/3)) =(12)/(16)`

`The \ rate \ of \ effudion \ of \ oxygen}=(12)/(16) * \left((1)/(3 ) \ cm^3/sec\right ) = (1)/(4) \ cm^3/sec`

The volume of effusion = The rate of effusion × Time

The volume of the oxygen that will effuse in 96 seconds is given as follows;

The rate of effusion of a gas × Time

V = The rate of effusion of oxygen × Time = (1/3) cm³/sec × 96 sec = 32 cm³

The volume of oxygen that will effuse in 96 seconds, V = 32 cm³.